Answer
$n=\frac{14}{3}$
Work Step by Step
We start with the given equation: $3(n-2)=8$
We apply the distributive property to expand the left side of the equation: $3n-6=8$
We add $6$ to both sides of the equation: $3n-6+6=8+6$
$3n=14$
Next, we divide by $3$ on both sides of the equation: $\frac{3n}{3}=\frac{14}{3}$
$n=\frac{14}{3}$